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Finding the Fourth Proportional to 923.91, 1,390.51 and 694

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Solution

The fourth proportional to 923.91, 1,390.51 and 694 is: 1,044.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.91 : 1,390.51 = 694 : x
  2. Step 2: Convert to fraction form
    923.91/1,390.51 = 694/x
  3. Step 3: Cross multiply
    923.91x = 1,390.51 × 694
  4. Step 4: Simplify right side
    923.91x = 965,013.94
  5. Step 5: Solve for x
    x = 965,013.94/923.91
  6. Step 6: Final answer
    x = 1,044.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.